Generalized Blasius problem for a viscoelastic fluid with viscous dissipation and suction/injection effects

Abstract

Purpose

The purpose of this paper is to study the Blasius flat plate with viscous dissipation in the presence of suction or injection effects in the boundary layer of a viscoelastic fluid.

Design/methodology/approach

The governing partial differential equations are derived as a first order ordinary differential equation using similarity (Blasius) variables. Velocity profiles, temperature profiles, skin friction parameters, and heat transfer parameters are computed numerically for various values of the viscoelastic parameter K, the suction or injection parameter f _w , the Prandtl number Pr, the Eckert number Ec, and the moving parameter λ.

Findings

The effects of the viscoelastic, moving, and suction/injection parameters on the skin friction and heat transfer of the flat plate are studied. The effects of these parameters on the velocity and temperature profiles are also presented for 0≤Pr≤3.

Originality/value

To the best of the authors' knowledge, this important classical problem has not been studied before for the case of a viscoelastic fluid. Thus, the results are original and new for this type of fluid.

Citation

Rahman Mohd Kasim, A., Sofiah Othman, Z., Shafie, S. and Pop, I. (2013), "Generalized Blasius problem for a viscoelastic fluid with viscous dissipation and suction/injection effects", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 23 No. 7, pp. 1242-1255. https://doi.org/10.1108/HFF-02-2011-0022